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Finding the Fourth Proportional to 493,475.52, 680,996.52 and 278,616

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Solution

The fourth proportional to 493,475.52, 680,996.52 and 278,616 is: 384,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,475.52 : 680,996.52 = 278,616 : x
  2. Step 2: Convert to fraction form
    493,475.52/680,996.52 = 278,616/x
  3. Step 3: Cross multiply
    493,475.52x = 680,996.52 × 278,616
  4. Step 4: Simplify right side
    493,475.52x = 189,736,526,416.32
  5. Step 5: Solve for x
    x = 189,736,526,416.32/493,475.52
  6. Step 6: Final answer
    x = 384,490.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.